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    Geometric Stiffening of Timoshenko Beams

    Source: Journal of Applied Mechanics:;1998:;volume( 065 ):;issue: 004::page 923
    Author:
    D. C. D. Oguamanam
    ,
    G. R. Heppler
    DOI: 10.1115/1.2791936
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The equations of motion of a prismatic isotropic Timoshenko beam with a tip mass and attached to a rotating hub are derived including the effects of centrifugal forces which appear in the equations of motion as nonlinear functions of the angular speed. The Rayleigh-Ritz method is used to obtain approximate solutions for the cases of a prescribed torque profile and a prescribed hub angular speed profile. In the case of a constant torque input, the effect of the centrifugal forces is not observed until sufficient angular speed is reached. When the system is driven under a constant velocity, it is observed that, for a sufficiently high angular speed, the centrifugal forces reduce the vibration amplitude.
    keyword(s): Torque , Centrifugal force , Equations of motion , Vibration , Functions AND Rayleigh-Ritz methods ,
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      Geometric Stiffening of Timoshenko Beams

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    contributor authorD. C. D. Oguamanam
    contributor authorG. R. Heppler
    date accessioned2017-05-08T23:55:34Z
    date available2017-05-08T23:55:34Z
    date copyrightDecember, 1998
    date issued1998
    identifier issn0021-8936
    identifier otherJAMCAV-26457#923_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/119852
    description abstractThe equations of motion of a prismatic isotropic Timoshenko beam with a tip mass and attached to a rotating hub are derived including the effects of centrifugal forces which appear in the equations of motion as nonlinear functions of the angular speed. The Rayleigh-Ritz method is used to obtain approximate solutions for the cases of a prescribed torque profile and a prescribed hub angular speed profile. In the case of a constant torque input, the effect of the centrifugal forces is not observed until sufficient angular speed is reached. When the system is driven under a constant velocity, it is observed that, for a sufficiently high angular speed, the centrifugal forces reduce the vibration amplitude.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleGeometric Stiffening of Timoshenko Beams
    typeJournal Paper
    journal volume65
    journal issue4
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.2791936
    journal fristpage923
    journal lastpage929
    identifier eissn1528-9036
    keywordsTorque
    keywordsCentrifugal force
    keywordsEquations of motion
    keywordsVibration
    keywordsFunctions AND Rayleigh-Ritz methods
    treeJournal of Applied Mechanics:;1998:;volume( 065 ):;issue: 004
    contenttypeFulltext
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